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Finding the Fourth Proportional to 9,298.13, 13,947.20 and 5,837.81

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Solution

The fourth proportional to 9,298.13, 13,947.20 and 5,837.81 is: 8,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.13 : 13,947.20 = 5,837.81 : x
  2. Step 2: Convert to fraction form
    9,298.13/13,947.20 = 5,837.81/x
  3. Step 3: Cross multiply
    9,298.13x = 13,947.20 × 5,837.81
  4. Step 4: Simplify right side
    9,298.13x = 81,421,103.63
  5. Step 5: Solve for x
    x = 81,421,103.63/9,298.13
  6. Step 6: Final answer
    x = 8,756.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.